Question

Translate the sentence into an inequality.Twice the difference of a number and 2 is at least - 29.Use the variable y for the unknown number.

Answer 1

We will start translating the phrase "the difference of a number and 2", using y as the unknown number:

`y-2`

Next, using that expression, we translate the phrase "twice the difference of a number and 2", in this step, we multiply the whole previous expression by 2:

`2(y-2)`

To continue we consider the phrase "is at least -29", this means that the previous expression 2(y-2) has to be at least -29 or it can be greater than -29. This is represented in the following expression:

`2(y-2)\ge-29`

Where the symbol ≥ means greater or equal to.

Answer:

`2(y-2)\ge-29`